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Finding the Fourth Proportional to 150,598.44, 207,830.34 and 83,529

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Solution

The fourth proportional to 150,598.44, 207,830.34 and 83,529 is: 115,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,598.44 : 207,830.34 = 83,529 : x
  2. Step 2: Convert to fraction form
    150,598.44/207,830.34 = 83,529/x
  3. Step 3: Cross multiply
    150,598.44x = 207,830.34 × 83,529
  4. Step 4: Simplify right side
    150,598.44x = 17,359,860,469.86
  5. Step 5: Solve for x
    x = 17,359,860,469.86/150,598.44
  6. Step 6: Final answer
    x = 115,272.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.